# Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills

@article{Berenstein2002StringsIF,
title={Strings in flat space and pp waves from \$\{\cal N\}=4\$ Super Yang Mills},
author={David Berenstein and Juan Martin Maldacena and Horatiu Nastase},
journal={arXiv: High Energy Physics - Theory},
year={2002}
}
• Published 4 February 2002
• Physics
• arXiv: High Energy Physics - Theory
We explain how the string spectrum in flat space and pp-waves arises from the large $N$ limit, at fixed $g^2_{YM}$, of U(N) ${\cal N} =4$ super Yang Mills. We reproduce the spectrum by summing a subset of the planar Feynman diagrams. We give a heuristic argument for why we can neglect other diagrams. We also discuss some other aspects of pp-waves and we present a matrix model associated to the DLCQ description of the maximally supersymmetric eleven dimensional pp-waves.
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## References

SHOWING 1-10 OF 56 REFERENCES

### Strings in $AdS_{3}$ and SL(2,R) WZW Model, 1

• Mathematics
• 2000
In this paper we study the spectrum of bosonic string theory on AdS3. We study classical solutions of the SL(2, R) WZW model, including solutions for long strings with non-zero winding number. We

### The String dual of a confining four-dimensional gauge theory

• Physics
• 2000
We study N=1 gauge theories obtained by adding finite mass terms to N=4 Yang-Mills theory. The Maldacena dual is nonsingular: in each of the many vacua, there is an extended brane source, arising

### Conformal Theories and Strings on Orbifolds

• Physics, Mathematics
• 1998
We propose correspondences between 4d quantum eld theories with N = 2; 1; 0 (super)conformal invariance and Type IIB string theory on various orbifolds. We argue using the spacetime string theory,

### 4D Conformal Field Theories and Strings on Orbifolds

• Physics
• 1998
We propose and test correspondences between 4D quantum field theories (QFTs) with N=2,thinsp1,thinsp0 (super)conformal invariance and type IIB string theory on various orbifolds of AdS{sub 5}{times}

### Anti-de Sitter space and holography

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of

### Exact Correlators of Giant Gravitons from dual N=4 SYM

• Mathematics, Physics
• 2001
A class of correlation functions of half-BPS composite operators are computed exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These have a simple dependence on the